Gauge Theory of Gravity and Supergravity

Details Gauge Theory of Gravity and Supergravity Gauge Theory of Gravity and Supergravity

2006-01-02

arxiv.org/abs/gr-qc/0601004v1

Phys.Rev.D73:065027,2006

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

27 pages

Scientific paper

10.1103/PhysRevD.73.065027

We present a formulation of gravity in terms of a theory based on complex SU(2) gauge fields with a general coordinate invariant action functional quadratic in the field strength. Self-duality or anti-self-duality of the field strength emerges as a constraint from the equations of motion of this theory. This in turn leads to Einstein gravity equations for a dilaton and an axion conformally coupled to gravity for the self-dual constraint. The analysis has also been extended to N=1 and 2 super Yang-Mills theory of complex SU(2) gauge fields. This leads, besides other equations of motion, to self-duality/anti-self-duality of generalized supercovariant field-strengths. The self-dual case is then shown to yield as its solutions $N = 1, 2$ supergravity equations respectively.

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